2tan (problem 3.3.2)

Time bar (total: 16.4s)

analyze59.0ms (0.4%)

Memory
-17.3MiB live, 58.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.5s (39.9%)

Memory
-212.5MiB live, 9 001.2MiB allocated
Samples
3.6s25 620×0invalid
683.0ms4 429×1valid
577.0ms3 827×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
const: 749.0ms (22.5% of total)
ival-tan: 600.0ms (18% of total)
ival-add: 455.0ms (13.7% of total)
ival-<: 339.0ms (10.2% of total)
ival-mult: 272.0ms (8.2% of total)
ival-<=: 239.0ms (7.2% of total)
ival-fabs: 220.0ms (6.6% of total)
ival-sub: 202.0ms (6.1% of total)
ival-and: 97.0ms (2.9% of total)
adjust: 93.0ms (2.8% of total)
exact: 44.0ms (1.3% of total)
ival-assert: 13.0ms (0.4% of total)
Bogosity

preprocess28.0ms (0.2%)

Memory
-2.3MiB live, 43.9MiB allocated
Algorithm
2×egg-herbie
Rules
114×sub-neg
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
76×cancel-sign-sub-inv
62×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
14342
29242
318142
432142
539842
648342
752542
853442
067
197
2147
3207
4287
5437
6767
71017
81447
91597
101677
01677
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (tan (+ x eps)) (tan x))
Outputs
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Call 2
Inputs
(- (tan (+ x eps)) (tan x))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(- (tan (+ x (neg eps))) (tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(neg (- (tan (+ x (neg eps))) (tan x)))
(- (tan (+ eps x)) (tan eps))
Outputs
(- (tan (+ x eps)) (tan x))
(- (tan (+ (neg x) eps)) (tan (neg x)))
(+ (tan x) (tan (- eps x)))
(- (tan (+ x (neg eps))) (tan x))
(- (tan (- x eps)) (tan x))
(neg (- (tan (+ (neg x) eps)) (tan (neg x))))
(- (tan (- x eps)) (tan x))
(neg (- (tan (+ x (neg eps))) (tan x)))
(+ (tan x) (tan (- eps x)))
(- (tan (+ eps x)) (tan eps))
(- (tan (+ x eps)) (tan eps))

explain93.0ms (0.6%)

Memory
16.1MiB live, 171.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2330-2(2.270818488837445e-212 3.5723729624353062e-214)(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
00-0-eps
00-0-(+.f64 x eps)
00-0-(tan.f64 x)
00-0-(tan.f64 (+.f64 x eps))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))cancellation2318
Confusion
Predicted +Predicted -
+2312
-023
Precision
1.0
Recall
0.9914163090128756
Confusion?
Predicted +Predicted MaybePredicted -
+23120
-0617
Precision?
0.9748953974895398
Recall?
1.0
Freqs
test
numberfreq
025
1231
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms272×1valid
15.0ms238×0valid
0.0ms2×2valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-tan: 10.0ms (43.6% of total)
adjust: 5.0ms (21.8% of total)
ival-add: 4.0ms (17.4% of total)
ival-sub: 3.0ms (13.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
1918
21418
32018
42818
54318
67618
710118
814418
915918
1016718
016718
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
x
eps
(tan x)
Outputs
(- (tan (+ x eps)) (tan x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan (+ x eps))
(tan.f64 (+.f64 x eps))
(+ x eps)
(+.f64 x eps)
x
eps
(tan x)
(tan.f64 x)

localize32.0ms (0.2%)

Memory
-19.6MiB live, 56.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(tan.f64 x)
✓accuracy100.0%
(tan.f64 (+.f64 x eps))
✓accuracy62.0%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Samples
14.0ms136×1valid
9.0ms119×0valid
0.0ms1×2valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-tan: 5.0ms (46.8% of total)
adjust: 2.0ms (18.7% of total)
ival-add: 2.0ms (18.7% of total)
ival-sub: 2.0ms (18.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (- (tan (+ x eps)) (tan x))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (tan x)>
Outputs
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(- (tan (+ x eps)) (tan x))
2.0ms
eps
@inf
(- (tan (+ x eps)) (tan x))
1.0ms
x
@inf
(- (tan (+ x eps)) (tan x))
1.0ms
x
@0
(- (tan (+ x eps)) (tan x))
1.0ms
x
@-inf
(- (tan (+ x eps)) (tan x))

rewrite447.0ms (2.7%)

Memory
-33.5MiB live, 536.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 404×*-lowering-*.f32
4 404×*-lowering-*.f64
3 318×/-lowering-/.f32
3 318×/-lowering-/.f64
3 264×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14616
239816
3612316
0810116
Stop Event
1×iter limit
1×node limit
Counts
4 → 259
Calls
Call 1
Inputs
(- (tan (+ x eps)) (tan x))
(tan (+ x eps))
(+ x eps)
(tan x)
Outputs
(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)) (tan.f64 (+.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))))
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64)) (tan.f64 x))
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(fma.f64 (tan.f64 x) #s(literal -1 binary64) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
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(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1 binary64)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x x) (*.f64 eps eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (+.f64 (*.f64 x x) (*.f64 eps eps)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (-.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps eps))) (+.f64 x eps))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 x x) (*.f64 eps (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(tan.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify477.0ms (2.9%)

Memory
22.9MiB live, 858.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 592×accelerator-lowering-fma.f32
14 592×accelerator-lowering-fma.f64
5 316×*-lowering-*.f32
5 316×*-lowering-*.f64
2 664×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571351
14641285
215341274
359491242
085341195
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
Outputs
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (*.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval44.0ms (0.3%)

Memory
-10.0MiB live, 101.9MiB allocated
Compiler

Compiled 9 035 to 1 031 computations (88.6% saved)

prune61.0ms (0.4%)

Memory
9.0MiB live, 161.0MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New32617343
Fresh000
Picked011
Done000
Total32618344
Accuracy
100.0%
Counts
344 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.0%
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
62.0%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
62.0%
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
20.5%
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
12.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
61.0%
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶98.4%
(/.f64 (sin.f64 eps) (cos.f64 eps))
62.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
62.0%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
61.9%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
61.6%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
✓62.1%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶60.7%
(-.f64 (tan.f64 (+.f64 x eps)) x)
99.5%
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
20.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
▶99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
▶100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
▶99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Compiler

Compiled 1 019 to 494 computations (51.5% saved)

simplify604.0ms (3.7%)

Memory
32.8MiB live, 790.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
✓cost-diff12800
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓cost-diff0
(cos.f64 eps)
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) x)
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓cost-diff128
(+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓cost-diff12544
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
✓cost-diff26112
(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
Rules
17 716×accelerator-lowering-fma.f32
17 716×accelerator-lowering-fma.f64
4 186×*-lowering-*.f32
4 186×*-lowering-*.f64
2 972×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045841
1108731
2299731
3978729
43930729
56806729
08031709
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))))
(- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))
(/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(/ (pow (sin x) 4) (pow (cos x) 2))
(pow (sin x) 4)
4
(+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))
1/6
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))
-1/2
(/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))
(* -1/2 (pow (sin x) 2))
(/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))
(* 1/6 (pow (sin x) 2))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
x
eps
(/ (sin eps) (cos eps))
(sin eps)
eps
(cos eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
eps
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
Outputs
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(+.f64 (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 eps eps)))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+.f64 (*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))
(+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2)))
(+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 4) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 4)
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64))
1/6
#s(literal 1/6 binary64)
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
-1/2
#s(literal -1/2 binary64)
(/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* -1/2 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(- (tan (+ x eps)) x)
(-.f64 (tan.f64 (+.f64 eps x)) x)
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(sin eps)
(sin.f64 eps)
eps
(cos eps)
(cos.f64 eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
eps
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+.f64 eps (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize459.0ms (2.8%)

Memory
-34.9MiB live, 331.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
✓accuracy100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy99.9%
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (sin.f64 eps) (cos.f64 eps))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(cos.f64 eps)
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(tan.f64 (+.f64 x eps))
✓accuracy62.5%
(-.f64 (tan.f64 (+.f64 x eps)) x)
✓accuracy99.8%
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
✓accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
✓accuracy99.5%
(*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
✓accuracy98.5%
(+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
Samples
189.0ms134×1valid
41.0ms120×0valid
2.0ms2×2valid
Compiler

Compiled 843 to 47 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-pow: 69.0ms (38.8% of total)
ival-sin: 18.0ms (10.1% of total)
ival-div: 17.0ms (9.6% of total)
ival-mult: 17.0ms (9.6% of total)
ival-add: 16.0ms (9% of total)
ival-pow2: 15.0ms (8.4% of total)
adjust: 8.0ms (4.5% of total)
const: 6.0ms (3.4% of total)
ival-cos: 4.0ms (2.3% of total)
ival-sub: 3.0ms (1.7% of total)
ival-tan: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series89.0ms (0.5%)

Memory
9.0MiB live, 122.1MiB allocated
Counts
22 → 396
Calls
Call 1
Inputs
#<alt (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))>
#<alt (* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))>
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))>
#<alt (- (tan (+ x eps)) x)>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (/ (sin eps) (cos eps))>
#<alt (sin eps)>
#<alt (cos eps)>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow (sin x) 2)>
#<alt (* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))>
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))>
#<alt (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))>
#<alt (pow (cos x) 2)>
#<alt (pow (sin x) 3)>
#<alt (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))>
Outputs
#<alt -1/2>
#<alt (- (* -1/3 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps)))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt -1/3>
#<alt (- (* -1/3 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (* -1 x)>
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#<alt (* x (- (/ (sin (+ eps x)) (* x (cos (+ eps x)))) 1))>
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#<alt (* -1 x)>
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#<alt (* -1 (* x (+ 1 (* -1 (/ (sin (- eps (* -1 x))) (* x (cos (- eps (* -1 x)))))))))>
#<alt (- (/ (sin x) (cos x)) x)>
#<alt (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) x)>
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#<alt (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) x)>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) x)>
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#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) x)>
#<alt (/ (sin eps) (cos eps))>
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#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt eps>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))>
#<alt (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps))))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (/ (* (pow eps 2) (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* eps (* x (- (* 5/6 eps) (* -1/2 eps)))))) (pow eps 2))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x)) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (* eps (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)) (* -1 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* 1/3 eps)>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* 17/9 (* eps (pow x 2))))))>
#<alt (+ (* 1/3 eps) (* (pow x 2) (+ (* 4/3 eps) (* (pow x 2) (+ (* 248/135 (* eps (pow x 2))) (* 17/9 eps))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* 1/6 (pow (sin x) 2))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (* eps x)>
#<alt (* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps)))))>
#<alt (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps)))))>
#<alt (* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (+ (* 61/120 eps) (* (pow x 2) (- (* 277/1008 eps) (+ (* -1/2 (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps)))) (+ (* -1/720 eps) (* 1/24 (- (* 5/6 eps) (* -1/2 eps)))))))) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps)))))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
#<alt (/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))>
Calls

99 calls:

TimeVariablePointExpression
25.0ms
eps
@0
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
11.0ms
eps
@0
(* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))))
7.0ms
x
@inf
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
4.0ms
x
@-inf
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
3.0ms
x
@inf
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))

rewrite585.0ms (3.6%)

Memory
47.2MiB live, 913.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 534×/-lowering-/.f32
4 534×/-lowering-/.f64
4 044×*-lowering-*.f32
4 044×*-lowering-*.f64
3 584×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045475
1327335
23412316
09507297
Stop Event
1×iter limit
1×node limit
Counts
22 → 581
Calls
Call 1
Inputs
(+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(- (tan (+ x eps)) x)
(tan (+ x eps))
(+ x eps)
(/ (sin eps) (cos eps))
(sin eps)
(cos eps)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2))))))
(* 1/6 (pow (sin x) 2))
(* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (+ -1/2 (/ (* -1/2 (pow (sin x) 2)) (pow (cos x) 2))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(pow (cos x) 2)
(pow (sin x) 3)
(* eps (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (/.f64 #s(literal -1/2 binary64) (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) eps)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(pow.f64 (/.f64 (cos.f64 x) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 eps (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) eps))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) eps)
(*.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 x)))

simplify501.0ms (3.1%)

Memory
-6.4MiB live, 753.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 658×accelerator-lowering-fma.f32
9 658×accelerator-lowering-fma.f64
7 264×*-lowering-*.f32
7 264×*-lowering-*.f64
2 874×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05118534
115728418
249798242
086547858
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
-1/3
(- (* -1/3 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(* -1 x)
(* x (- (/ (sin (+ eps x)) (* x (cos (+ eps x)))) 1))
(* x (- (/ (sin (+ eps x)) (* x (cos (+ eps x)))) 1))
(* x (- (/ (sin (+ eps x)) (* x (cos (+ eps x)))) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin (- eps (* -1 x))) (* x (cos (- eps (* -1 x)))))))))
(* -1 (* x (+ 1 (* -1 (/ (sin (- eps (* -1 x))) (* x (cos (- eps (* -1 x)))))))))
(* -1 (* x (+ 1 (* -1 (/ (sin (- eps (* -1 x))) (* x (cos (- eps (* -1 x)))))))))
(- (/ (sin x) (cos x)) x)
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) x)
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) x)
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) x)
(- (/ (sin (+ eps x)) (cos (+ eps x))) x)
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(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* 1/3 eps)
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(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* 1/6 (pow x 2))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(* eps x)
(* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps)))))
(* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps)))))
(* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (+ (* 61/120 eps) (* (pow x 2) (- (* 277/1008 eps) (+ (* -1/2 (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps)))) (+ (* -1/720 eps) (* 1/24 (- (* 5/6 eps) (* -1/2 eps)))))))) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps)))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/9 binary64)))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 (*.f64 x x) #s(literal -17/135 binary64))))))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (*.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps eps)))
(* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps))) (+.f64 (/.f64 (/.f64 (sin.f64 x) eps) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 (/.f64 (sin.f64 x) eps) (cos.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (/.f64 (/.f64 (sin.f64 x) eps) (cos.f64 x))) (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps)))))
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(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/18 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/135 (pow x 2)) 1/18))))
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(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/135 (* -1/1890 (pow x 2)))) 1/18))))
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(* 1/6 (pow (sin x) 2))
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(* 1/6 (pow (sin x) 2))
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(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow (sin x) 2))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
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(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(+ (* 1/3 (pow eps 2)) (* eps x))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x eps))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
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(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
(* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))
(*.f64 eps (+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 13/120 binary64)))))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 13/120 binary64) (*.f64 (*.f64 x x) #s(literal -41/3024 binary64)))))))))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(* eps x)
(*.f64 x eps)
(* x (+ eps (* (pow x 2) (- (* 5/6 eps) (* -1/2 eps)))))
(*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))
(* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps)))))
(*.f64 x (+.f64 eps (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 eps #s(literal 61/120 binary64)) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 eps #s(literal -1/24 binary64))))) (*.f64 eps #s(literal 4/3 binary64)))))))
(* x (+ eps (* (pow x 2) (- (+ (* 5/6 eps) (* (pow x 2) (- (+ (* 61/120 eps) (* (pow x 2) (- (* 277/1008 eps) (+ (* -1/2 (- (* 61/120 eps) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps)))) (+ (* -1/720 eps) (* 1/24 (- (* 5/6 eps) (* -1/2 eps)))))))) (+ (* -1/2 (- (* 5/6 eps) (* -1/2 eps))) (* 1/24 eps))))) (* -1/2 eps)))))
(*.f64 x (+.f64 eps (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 eps #s(literal 277/1008 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps #s(literal 61/120 binary64)) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 eps #s(literal -1/24 binary64))))) (+.f64 (*.f64 eps #s(literal -1/720 binary64)) (*.f64 eps #s(literal 1/18 binary64)))))) (+.f64 (*.f64 eps #s(literal 61/120 binary64)) (+.f64 (*.f64 eps #s(literal 2/3 binary64)) (*.f64 eps #s(literal -1/24 binary64)))))) (*.f64 eps #s(literal 4/3 binary64)))))))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))
(/ (* eps (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))) (cos x))
(*.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)))

eval475.0ms (2.9%)

Memory
-6.4MiB live, 336.8MiB allocated
Compiler

Compiled 84 240 to 5 016 computations (94% saved)

prune166.0ms (1%)

Memory
17.8MiB live, 306.4MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1 493111 504
Fresh9312
Picked505
Done101
Total1 508141 522
Accuracy
100.0%
Counts
1 522 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.0%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
62.0%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
▶61.9%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
99.5%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
99.4%
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
▶100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
99.5%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
▶99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
▶98.4%
eps
Compiler

Compiled 588 to 374 computations (36.4% saved)

simplify398.0ms (2.4%)

Memory
-16.3MiB live, 615.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff0
(sin.f64 x)
✓cost-diff64
(neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)))
✓cost-diff6400
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)
✓cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
✓cost-diff128
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps))))
✓cost-diff6336
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
Rules
13 020×accelerator-lowering-fma.f32
13 020×accelerator-lowering-fma.f64
3 600×*-lowering-*.f32
3 600×*-lowering-*.f64
2 092×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047436
1136436
2381412
31219412
42783412
53857412
64743412
76254412
08087385
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
(* 1/3 eps)
1/3
(* 4/3 (* x (* x eps)))
4/3
(* x (* x eps))
(* x eps)
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
eps
(* eps (+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x)))
eps
(+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x))
1
(* (* (+ 1 (* (* x x) 2/3)) x) x)
(* (+ 1 (* (* x x) 2/3)) x)
(+ 1 (* (* x x) 2/3))
(* (* x x) 2/3)
(* x x)
x
2/3
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))))
(tan (+ x eps))
(+ x eps)
x
eps
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15)))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))
1
(* (* x x) (+ 1/3 (* (* x x) 2/15)))
(* x x)
(+ 1/3 (* (* x x) 2/15))
1/3
(* (* x x) 2/15)
2/15
(+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))
(sin x)
x
(neg (/ 1 (cos x)))
(/ 1 (cos x))
1
(cos x)
(tan (+ x eps))
(+ x eps)
eps
Outputs
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(*.f64 eps (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 4/3 binary64))))))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (*.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 4/3 binary64)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 4/3 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 4/3 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 4/3 binary64)))))
(* 1/3 eps)
(*.f64 eps #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* 4/3 (* x (* x eps)))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))
4/3
#s(literal 4/3 binary64)
(* x (* x eps))
(*.f64 eps (*.f64 x x))
(* x eps)
(*.f64 eps x)
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
eps
(* eps (+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))
eps
(+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))
1
#s(literal 1 binary64)
(* (* (+ 1 (* (* x x) 2/3)) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(* (+ 1 (* (* x x) 2/3)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))
(+ 1 (* (* x x) 2/3))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))
(* (* x x) 2/3)
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* x x)
(*.f64 x x)
x
2/3
#s(literal 2/3 binary64)
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/15 binary64)))))))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* (* x x) 2/15)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) 2/15))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
1/3
#s(literal 1/3 binary64)
(* (* x x) 2/15)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(sin x)
(sin.f64 x)
x
(neg (/ 1 (cos x)))
(/.f64 #s(literal -1 binary64) (cos.f64 x))
(/ 1 (cos x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
eps

localize248.0ms (1.5%)

Memory
16.6MiB live, 329.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(tan.f64 (+.f64 x eps))
✓accuracy62.0%
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
✓accuracy100.0%
(tan.f64 (+.f64 x eps))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓accuracy62.1%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
✓accuracy100.0%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x)
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x eps))
✓accuracy99.8%
(*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
✓accuracy99.8%
(*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) eps)
Samples
120.0ms142×1valid
39.0ms112×0valid
2.0ms2×2valid
Compiler

Compiled 439 to 49 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 35.0ms (27.3% of total)
ival-add: 22.0ms (17.2% of total)
const: 19.0ms (14.8% of total)
ival-div: 13.0ms (10.1% of total)
adjust: 8.0ms (6.2% of total)
ival-tan: 7.0ms (5.5% of total)
ival-pow2: 7.0ms (5.5% of total)
ival-pow: 6.0ms (4.7% of total)
ival-sin: 4.0ms (3.1% of total)
ival-cos: 3.0ms (2.3% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
-0.6MiB live, 35.8MiB allocated
Counts
24 → 420
Calls
Call 1
Inputs
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))>
#<alt (+ (* 1/3 eps) (* 4/3 (* x (* x eps))))>
#<alt (* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (* eps (+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x)))>
#<alt (+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x))>
#<alt (* (* (+ 1 (* (* x x) 2/3)) x) x)>
#<alt (* (+ 1 (* (* x x) 2/3)) x)>
#<alt (- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15)))))>
#<alt (+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))>
#<alt (neg (/ 1 (cos x)))>
#<alt (sin x)>
#<alt (/ 1 (cos x))>
#<alt (* 1/3 eps)>
#<alt (* 4/3 (* x (* x eps)))>
#<alt (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))>
#<alt (* x (* x eps))>
#<alt (* (* x x) 2/3)>
#<alt (* (* x x) (+ 1/3 (* (* x x) 2/15)))>
#<alt (* (* x x) 2/15)>
#<alt (cos x)>
Outputs
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* -1 (* (pow eps 2) (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* 1/3 eps)>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* -1 (* (pow eps 3) (- (* -4/3 (pow x 2)) 1/3)))>
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#<alt (* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
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#<alt (* 4/3 (* (pow eps 3) (pow x 2)))>
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#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))>
#<alt (* 4/3 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))>
#<alt 1>
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#<alt (* eps (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))>
#<alt (* eps (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))>
#<alt eps>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))>
#<alt (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2))))))>
#<alt (* 2/3 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 2/3 eps) (/ eps (pow x 2))))>
#<alt (* (pow x 4) (+ (* 2/3 eps) (+ (/ eps (pow x 2)) (/ eps (pow x 4)))))>
#<alt (* (pow x 4) (+ (* 2/3 eps) (+ (/ eps (pow x 2)) (/ eps (pow x 4)))))>
#<alt (* 2/3 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 2/3 eps) (/ eps (pow x 2))))>
#<alt (* (pow x 4) (+ (* 2/3 eps) (+ (/ eps (pow x 2)) (/ eps (pow x 4)))))>
#<alt (* (pow x 4) (+ (* 2/3 eps) (+ (/ eps (pow x 2)) (/ eps (pow x 4)))))>
#<alt 1>
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#<alt (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
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#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
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#<alt (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 2/3 (/ 1 (pow x 2))))>
#<alt x>
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#<alt (* x (+ 1 (* 2/3 (pow x 2))))>
#<alt (* x (+ 1 (* 2/3 (pow x 2))))>
#<alt (* 2/3 (pow x 3))>
#<alt (* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))>
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#<alt (* (pow x 3) (+ 2/3 (/ 1 (pow x 2))))>
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#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (* -2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 2/15 (* 1/3 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 2/15))>
#<alt (* (pow x 5) (- (/ (sin (+ eps x)) (* (pow x 5) (cos (+ eps x)))) (+ 2/15 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
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#<alt (* -1 (* (pow x 5) (+ 2/15 (+ (* -1 (/ (sin (- eps (* -1 x))) (* (pow x 5) (cos (- eps (* -1 x)))))) (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))>
#<alt (- (/ (sin x) (cos x)) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))>
#<alt (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))>
#<alt (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))>
#<alt (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))>
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#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
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#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
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#<alt eps>
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#<alt x>
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#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
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#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin x) (cos x)))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
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#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (+ eps x)) (cos (+ eps x))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt (+ (* -1 (/ (sin x) (cos x))) (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))>
#<alt -1>
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#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt (/ -1 (cos x))>
#<alt x>
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#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 5/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 5/24 (* 61/720 (pow x 2)))))))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (/ 1 (cos x))>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))>
#<alt (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* -1 (* (pow eps 2) (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

105 calls:

TimeVariablePointExpression
7.0ms
eps
@-inf
(* x (* x eps))
1.0ms
x
@inf
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
1.0ms
eps
@0
(* eps (+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x)))
1.0ms
eps
@0
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
1.0ms
eps
@inf
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))))

rewrite358.0ms (2.2%)

Memory
8.4MiB live, 445.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 784×*-lowering-*.f32
3 784×*-lowering-*.f64
3 688×/-lowering-/.f32
3 688×/-lowering-/.f64
3 600×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047285
1319261
23124255
08380232
Stop Event
1×iter limit
1×node limit
Counts
24 → 527
Calls
Call 1
Inputs
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(* eps (+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x)))
(+ 1 (* (* (+ 1 (* (* x x) 2/3)) x) x))
(* (* (+ 1 (* (* x x) 2/3)) x) x)
(* (+ 1 (* (* x x) 2/3)) x)
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15))))))
(tan (+ x eps))
(+ x eps)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 2/15)))))
(+ (* (sin x) (neg (/ 1 (cos x)))) (tan (+ x eps)))
(neg (/ 1 (cos x)))
(sin x)
(/ 1 (cos x))
(* 1/3 eps)
(* 4/3 (* x (* x eps)))
(* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(* x (* x eps))
(* (* x x) 2/3)
(* (* x x) (+ 1/3 (* (* x x) 2/15)))
(* (* x x) 2/15)
(cos x)
Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64))))) (+.f64 (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))) #s(literal 1 binary64))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))))) (/.f64 eps (/.f64 (cos.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))))
(+.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))) (/.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(fma.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 (*.f64 x eps) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
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(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 2/15 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) x) x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/3375 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 8/3375 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
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(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
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(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4/225 binary64))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) x)
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal -1 binary64))))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify491.0ms (3%)

Memory
30.9MiB live, 579.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 272×accelerator-lowering-fma.f32
12 272×accelerator-lowering-fma.f64
5 968×*-lowering-*.f32
5 968×*-lowering-*.f64
4 652×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04336072
113525868
242145651
085685337
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* -1 (* (pow eps 2) (- (* -4/3 (pow x 2)) 1/3)))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* -1 (* (pow eps 3) (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) 1/3)))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))
(* 4/3 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))
(* 4/3 (* (pow eps 3) (pow x 2)))
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
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x
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(* 2/15 (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(+ 1 (* 1/3 (pow eps 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))) (*.f64 x x))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 eps x)))) (*.f64 x x))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (+ (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2)) (/ (pow (sin x) 2) (* (pow x 2) (pow (cos x) 2)))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))
(+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))
(*.f64 eps (*.f64 eps (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)))
(* -1 (* (pow eps 2) (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))
(*.f64 eps (*.f64 eps (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) eps)))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps))) eps))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) eps)))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* 1/3 eps)
(*.f64 #s(literal 1/3 binary64) eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* 4/3 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 4/3 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 4/3 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 4/3 binary64))))
(* 4/3 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 4/3 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 4/3 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 4/3 binary64))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) eps)) (*.f64 eps (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))))
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)) (*.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) 1/3)))
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(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))
(*.f64 eps (*.f64 eps (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))
(*.f64 eps (*.f64 eps (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))
(*.f64 eps (*.f64 eps (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps) (+.f64 (/.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))))))
(* 1/3 (pow eps 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
(+ (* 1/3 (pow eps 2)) (* eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))
(*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))
(+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 eps x)))
(* 4/3 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))
(*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))
(*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))
(*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))
(*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))
(*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 2))))
(*.f64 x (*.f64 x (*.f64 eps (+.f64 (*.f64 eps #s(literal 4/3 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (*.f64 x x))))))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* eps (pow x 2))
(*.f64 eps (*.f64 x x))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 2/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/3 binary64)))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 4) (+ 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval156.0ms (1%)

Memory
18.2MiB live, 280.4MiB allocated
Compiler

Compiled 43 093 to 2 986 computations (93.1% saved)

prune116.0ms (0.7%)

Memory
-9.3MiB live, 230.0MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 17251 177
Fresh189
Picked325
Done000
Total1 176151 191
Accuracy
100.0%
Counts
1 191 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.0%
(fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) (tan.f64 (+.f64 x eps)))
61.8%
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶62.0%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
61.3%
(-.f64 (tan.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
99.5%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
▶99.4%
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 eps x)))))
99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
▶99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
▶100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
▶99.5%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
✓98.4%
eps
Compiler

Compiled 664 to 421 computations (36.6% saved)

simplify499.0ms (3.1%)

Memory
-29.4MiB live, 605.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps))
✓cost-diff0
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(tan.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓cost-diff0
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
✓cost-diff128
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
✓cost-diff0
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
✓cost-diff128
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps))))
Rules
16 680×accelerator-lowering-fma.f32
16 680×accelerator-lowering-fma.f64
4 768×+-lowering-+.f64
4 768×+-lowering-+.f32
3 076×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064665
1197665
2607643
31909643
45208639
57005639
08014577
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* eps (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
eps
(+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45)))))))
1
(* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))
(* x x)
x
(+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45)))))
(* x (* x (+ 2/3 (* (* x x) 17/45))))
(* x (+ 2/3 (* (* x x) 17/45)))
(+ 2/3 (* (* x x) 17/45))
2/3
(* (* x x) 17/45)
17/45
(* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
(* 1/3 eps)
1/3
(* 4/3 (* x (* x eps)))
4/3
(* x (* x eps))
(* x eps)
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(sin x)
(/ (pow (sin x) 3) (pow (cos x) 2))
(pow (sin x) 3)
3
(pow (cos x) 2)
(cos x)
2
(* (+ (* x x) 1) eps)
(+ (* x x) 1)
(* x x)
x
1
eps
(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))))
eps
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps))))
(+ 1 (* 1/3 (* eps eps)))
1
(* 1/3 (* eps eps))
1/3
(* eps eps)
(* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))
x
(+ x (* (+ 1 (* x (* eps 4/3))) eps))
(* (+ 1 (* x (* eps 4/3))) eps)
(+ 1 (* x (* eps 4/3)))
(* x (* eps 4/3))
(* eps 4/3)
4/3
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
(tan (+ x eps))
(+ x eps)
x
eps
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))
1
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
(* x x)
(+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))
1/3
(* (* x x) (+ 2/15 (* x (* x 17/315))))
(+ 2/15 (* x (* x 17/315)))
2/15
(* x (* x 17/315))
(* x 17/315)
17/315
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps)))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
1
(/ (pow (sin x) 2) (pow (cos x) 2))
(pow (sin x) 2)
(sin x)
x
2
(pow (cos x) 2)
(cos x)
(* x eps)
Outputs
(* eps (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
eps
(+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))
(* x (* x (+ 2/3 (* (* x x) 17/45))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))
(* x (+ 2/3 (* (* x x) 17/45)))
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))
(+ 2/3 (* (* x x) 17/45))
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))
2/3
#s(literal 2/3 binary64)
(* (* x x) 17/45)
(*.f64 (*.f64 x x) #s(literal 17/45 binary64))
17/45
#s(literal 17/45 binary64)
(* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))
(+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
(+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64))))
(* 1/3 eps)
(*.f64 eps #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* 4/3 (* x (* x eps)))
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))
4/3
#s(literal 4/3 binary64)
(* x (* x eps))
(*.f64 eps (*.f64 x x))
(* x eps)
(*.f64 eps x)
(/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))
(+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2)))
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(sin x)
(sin.f64 x)
(/ (pow (sin x) 3) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
2
#s(literal 2 binary64)
(* (+ (* x x) 1) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* x x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
eps
(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64))))))))
eps
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 4/3 binary64)))))))
(+ 1 (* 1/3 (* eps eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))))
1
#s(literal 1 binary64)
(* 1/3 (* eps eps))
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))
(*.f64 x (+.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))
x
(+ x (* (+ 1 (* x (* eps 4/3))) eps))
(+.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))))
(* (+ 1 (* x (* eps 4/3))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))
(+ 1 (* x (* eps 4/3)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x)))
(* x (* eps 4/3))
(*.f64 #s(literal 4/3 binary64) (*.f64 eps x))
(* eps 4/3)
(*.f64 eps #s(literal 4/3 binary64))
4/3
#s(literal 4/3 binary64)
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
(+.f64 (tan.f64 (+.f64 eps x)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))))
(tan (+ x eps))
(tan.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x
eps
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))))
(* x x)
(*.f64 x x)
(+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))
1/3
#s(literal 1/3 binary64)
(* (* x x) (+ 2/15 (* x (* x 17/315))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))
(+ 2/15 (* x (* x 17/315)))
(+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))
2/15
#s(literal 2/15 binary64)
(* x (* x 17/315))
(*.f64 x (*.f64 x #s(literal 17/315 binary64)))
(* x 17/315)
(*.f64 x #s(literal 17/315 binary64))
17/315
#s(literal 17/315 binary64)
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps)))
(*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps x))))
eps
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (pow (sin x) 2) (pow (cos x) 2))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin x)
(sin.f64 x)
x
2
#s(literal 2 binary64)
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
(* x eps)
(*.f64 eps x)

localize348.0ms (2.1%)

Memory
-2.2MiB live, 470.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
✓accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 17/315 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))))
✓accuracy99.5%
(*.f64 x #s(literal 17/315 binary64))
✓accuracy62.0%
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
✓accuracy99.8%
(*.f64 x (*.f64 eps #s(literal 4/3 binary64)))
✓accuracy99.8%
(*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))
✓accuracy99.6%
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))
✓accuracy99.4%
(*.f64 eps #s(literal 4/3 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 17/45 binary64))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) eps)
Samples
171.0ms136×1valid
64.0ms118×0valid
3.0ms2×2valid
Compiler

Compiled 667 to 66 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-add: 73.0ms (39.1% of total)
ival-mult: 48.0ms (25.7% of total)
const: 23.0ms (12.3% of total)
adjust: 12.0ms (6.4% of total)
ival-div: 7.0ms (3.8% of total)
ival-pow2: 7.0ms (3.8% of total)
ival-pow: 6.0ms (3.2% of total)
ival-tan: 3.0ms (1.6% of total)
ival-cos: 3.0ms (1.6% of total)
ival-sin: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.4%)

Memory
18.3MiB live, 56.6MiB allocated
Counts
31 → 528
Calls
Call 1
Inputs
#<alt (+ (* 1/3 eps) (* 4/3 (* x (* x eps))))>
#<alt (* eps (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))>
#<alt (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))>
#<alt (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45)))))))>
#<alt (* (+ (* x x) 1) eps)>
#<alt (+ (* x x) 1)>
#<alt (* x x)>
#<alt (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps))))>
#<alt (* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))))>
#<alt (+ 1 (* 1/3 (* eps eps)))>
#<alt (* 1/3 (* eps eps))>
#<alt (- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))>
#<alt (* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps)))>
#<alt (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (* 1/3 eps)>
#<alt (* x (+ 2/3 (* (* x x) 17/45)))>
#<alt (* (* x x) 17/45)>
#<alt (* x (* x (+ 2/3 (* (* x x) 17/45))))>
#<alt (* eps 4/3)>
#<alt (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))>
#<alt (* x (* eps 4/3))>
#<alt (* x 17/315)>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))>
#<alt (* x (* x 17/315))>
#<alt (pow (cos x) 2)>
#<alt (pow (sin x) 2)>
Outputs
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* eps (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* 1/3 eps)>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* 4/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))>
#<alt (* eps (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))>
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* -1 (* (pow eps 3) (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) 1/3)))>
#<alt (* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) eps) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))>
#<alt (* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) eps) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))>
#<alt (* 17/45 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* 17/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)))))>
#<alt (* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)) (/ (* eps (+ 1 (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))) (pow x 6))))))>
#<alt (* 17/45 (* eps (pow x 6)))>
#<alt (* (pow x 6) (+ (* 17/45 eps) (* 2/3 (/ eps (pow x 2)))))>
#<alt (* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)))))>
#<alt (* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)) (/ (* eps (+ 1 (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))) (pow x 6))))))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))>
#<alt (* 17/45 (pow x 6))>
#<alt (* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 6))))))))>
#<alt (* 17/45 (pow x 6))>
#<alt (* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 6))))))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))>
#<alt (* -1 (* (pow eps 2) (- (* -4/3 (pow x 2)) 1/3)))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) eps))) eps))))>
#<alt (* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) eps))) eps))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (* 17/45 (pow x 6))>
#<alt (* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))>
#<alt (* 17/45 (pow x 6))>
#<alt (* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))>
#<alt eps>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (* eps (pow x 2))>
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (* eps (pow x 2))>
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (+ (* eps x) (pow x 2)))>
#<alt (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))>
#<alt (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ eps x))))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ eps x))))))>
#<alt (* -1 (* (pow x 2) (- (* -4/3 (pow eps 2)) 1)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x))))>
#<alt (* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x))))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps x) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))>
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) (pow x 2)) (/ (pow eps 2) x))))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) (pow x 2)) (/ (pow eps 2) x))))>
#<alt (* -1 (* eps (* (pow x 2) (- (* -4/3 (pow eps 2)) 1))))>
#<alt (* (pow x 2) (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (/ (pow eps 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) x)) (* -1 (pow eps 2))) x))))>
#<alt (* (pow x 2) (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) x)) (* -1 (pow eps 2))) x))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))>
#<alt (- (/ (sin x) (cos x)) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))>
#<alt (/ (sin x) (cos x))>
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))>
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* x (+ (* eps x) (pow eps 2))))>
#<alt (+ eps (* x (+ (* x (+ eps (* 2/3 (* eps (pow x 2))))) (pow eps 2))))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))>
#<alt (* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))>
#<alt (* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps x)))>
#<alt (+ 1 (* x (+ eps (* x (+ 1 (* 2/3 (pow x 2)))))))>
#<alt (* eps x)>
#<alt (* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))>
#<alt (* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))>
#<alt (* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))>
#<alt (* eps x)>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))>
#<alt (* eps x)>
#<alt (* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 1/3 eps)>
#<alt (* 2/3 x)>
#<alt (* x (+ 2/3 (* 17/45 (pow x 2))))>
#<alt (* x (+ 2/3 (* 17/45 (pow x 2))))>
#<alt (* x (+ 2/3 (* 17/45 (pow x 2))))>
#<alt (* 17/45 (pow x 3))>
#<alt (* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 17/45 (pow x 3))>
#<alt (* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 17/45 (pow x 2))>
#<alt (* 2/3 (pow x 2))>
#<alt (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))>
#<alt (* 17/45 (pow x 4))>
#<alt (* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 17/45 (pow x 4))>
#<alt (* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* eps x)>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* -1 (* (pow x 2) (- (* -4/3 (pow eps 2)) 1)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))>
#<alt (* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))>
#<alt (pow x 2)>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ x eps)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ x eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 4/3 (* eps x))>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 17/315 x)>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 6))>
#<alt (* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt (* 17/315 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
#<alt (pow (sin x) 2)>
Calls

132 calls:

TimeVariablePointExpression
15.0ms
x
@0
(* x (+ 2/3 (* (* x x) 17/45)))
1.0ms
eps
@inf
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
1.0ms
x
@inf
(* eps (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
1.0ms
eps
@-inf
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps))))
1.0ms
eps
@0
(* eps (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))

rewrite500.0ms (3.1%)

Memory
-9.8MiB live, 665.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 122×*-lowering-*.f32
5 122×*-lowering-*.f64
4 814×accelerator-lowering-fma.f32
4 814×accelerator-lowering-fma.f64
3 358×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064389
1457361
24600355
09044312
Stop Event
1×iter limit
1×node limit
Counts
31 → 573
Calls
Call 1
Inputs
(+ (* 1/3 eps) (* 4/3 (* x (* x eps))))
(* eps (+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))))))
(+ (+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45))))))) (* eps (+ (+ (* 1/3 eps) (* 4/3 (* x (* x eps)))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))))
(+ 1 (* (* x x) (+ 1 (* x (* x (+ 2/3 (* (* x x) 17/45)))))))
(* (+ (* x x) 1) eps)
(+ (* x x) 1)
(* x x)
(+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps))))
(* eps (+ (+ 1 (* 1/3 (* eps eps))) (* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))))
(+ 1 (* 1/3 (* eps eps)))
(* 1/3 (* eps eps))
(- (tan (+ x eps)) (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315)))))))))
(tan (+ x eps))
(+ x eps)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))))
(* eps (+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps)))
(+ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (* x eps))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* 1/3 eps)
(* x (+ 2/3 (* (* x x) 17/45)))
(* (* x x) 17/45)
(* x (* x (+ 2/3 (* (* x x) 17/45))))
(* eps 4/3)
(* x (+ x (* (+ 1 (* x (* eps 4/3))) eps)))
(* x (* eps 4/3))
(* x 17/315)
(* (* x x) (+ 1/3 (* (* x x) (+ 2/15 (* x (* x 17/315))))))
(* x (* x 17/315))
(pow (cos x) 2)
(pow (sin x) 2)
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))
(+.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps))
(-.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x))))) (/.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x))))))
(fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))
(fma.f64 eps #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))))
(fma.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 x (*.f64 eps (*.f64 #s(literal 4/3 binary64) x)) (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 eps x) (*.f64 #s(literal 4/3 binary64) x) (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64) (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 x x) (*.f64 eps #s(literal 4/3 binary64)) (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) x)) x (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 #s(literal 4/3 binary64) x) (*.f64 eps x) (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 x x)) eps (*.f64 #s(literal 1/3 binary64) eps))
(fma.f64 (*.f64 (*.f64 #s(literal 4/3 binary64) x) x) eps (*.f64 #s(literal 1/3 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps)))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 64/27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x)))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 64/27 binary64)))) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps)))))
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 64/27 binary64)))) (+.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x)))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 64/27 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x)))) (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps)))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps)))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 64/27 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x)))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/27 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 64/27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (-.f64 (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) eps))))))
(*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/9 binary64)) (*.f64 #s(literal 16/9 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal -4/3 binary64) (*.f64 eps (*.f64 x x))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps)))
(+.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))) eps))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))))
(fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps)))
(fma.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))) eps))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))) eps (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps)))
(fma.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))))
(fma.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))) eps (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))))
(fma.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))))
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))))) (pow.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))))) (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 eps (*.f64 x x)))) (/.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (*.f64 eps eps))))))
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(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (sin.f64 x))

simplify517.0ms (3.2%)

Memory
-19.9MiB live, 792.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 372×accelerator-lowering-fma.f32
12 372×accelerator-lowering-fma.f64
6 582×*-lowering-*.f32
6 582×*-lowering-*.f64
3 840×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05686932
119096744
263056619
081586156
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(* 1/3 eps)
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(* eps (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* -1 (* (pow eps 3) (- (* -4/3 (pow x 2)) 1/3)))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))) 1/3)))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) eps) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))
(* -1 (* (pow eps 3) (- (+ (* -4/3 (pow x 2)) (* -1 (/ (+ (/ 1 eps) (+ (/ (sin x) (cos x)) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) eps) (/ (pow (sin x) 3) (pow (cos x) 3))))) eps))) 1/3)))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))
(* 17/45 (* eps (pow x 6)))
(* (pow x 6) (+ (* 17/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)))))
(* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)) (/ (* eps (+ 1 (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))) (pow x 6))))))
(* 17/45 (* eps (pow x 6)))
(* (pow x 6) (+ (* 17/45 eps) (* 2/3 (/ eps (pow x 2)))))
(* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)))))
(* (pow x 6) (+ (* 17/45 eps) (+ (* 2/3 (/ eps (pow x 2))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) (pow x 4)) (/ (* eps (+ 1 (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))))) (pow x 6))))))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))
(* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 6))))))))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4))))))
(* (pow x 6) (+ 17/45 (+ (* 4/3 (/ (pow eps 2) (pow x 4))) (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ (* eps (+ (* 1/3 eps) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow x 6))))))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))) (pow eps 2)) (/ (pow (sin x) 3) (* eps (pow (cos x) 3)))))))))
(* -1 (* (pow eps 2) (- (* -4/3 (pow x 2)) 1/3)))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (+ (/ (sin x) (* eps (cos x))) (/ (pow (sin x) 3) (* eps (pow (cos x) 3))))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) eps))) eps))))
(* (pow eps 2) (+ (* -1 (- (* -4/3 (pow x 2)) 1/3)) (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))) eps))) eps))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
(* 17/45 (pow x 6))
(* (pow x 6) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 17/45 (+ (* 2/3 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* eps (pow x 2)))
(+ eps (* eps (pow x 2)))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ 1 (pow x 2))
(+ 1 (+ (* eps x) (pow x 2)))
(+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))
(+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))
(* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (+ 1 (pow x 2)) eps))) eps)) (* 4/3 (pow x 2)))))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* eps x)))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ 1 (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))))
(* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ eps x))))))
(* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (+ (/ 1 (pow x 2)) (/ eps x))))))
(* -1 (* (pow x 2) (- (* -4/3 (pow eps 2)) 1)))
(* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))
(* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x))))
(* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (* -1 (/ (+ (* -1 eps) (* -1 (/ (+ 1 (* 1/3 (pow eps 2))) x))) x))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps x) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (+ (/ 1 eps) (/ (pow x 2) eps))) eps)))))
(* eps (+ 1 (* 1/3 (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* (pow eps 2) x))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))
(* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))
(* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))
(* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) (pow x 2)) (/ (pow eps 2) x))))
(* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) (pow x 2)) (/ (pow eps 2) x))))
(* -1 (* eps (* (pow x 2) (- (* -4/3 (pow eps 2)) 1))))
(* (pow x 2) (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (/ (pow eps 2) x)))
(* (pow x 2) (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) x)) (* -1 (pow eps 2))) x))))
(* (pow x 2) (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (* -1 (/ (+ (* -1 (/ (* eps (+ 1 (* 1/3 (pow eps 2)))) x)) (* -1 (pow eps 2))) x))))
1
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* 1/3 (pow eps 2)))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2))))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))
(* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
(- (/ (sin x) (cos x)) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))
(/ (sin eps) (cos eps))
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))
(/ (sin x) (cos x))
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (+ eps x)) (cos (+ eps x)))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* (pow eps 2) (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
eps
(+ eps (* (pow eps 2) x))
(+ eps (* x (+ (* eps x) (pow eps 2))))
(+ eps (* x (+ (* x (+ eps (* 2/3 (* eps (pow x 2))))) (pow eps 2))))
(* (pow eps 2) x)
(* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))
(* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))
(* x (+ (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x) (pow eps 2)))
(* (pow eps 2) x)
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))
(* -1 (* x (+ (* -1 (/ (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) x)) (* -1 (pow eps 2)))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps x)))
(+ 1 (* x (+ eps (* x (+ 1 (* 2/3 (pow x 2)))))))
(* eps x)
(* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))
(* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))
(* x (+ eps (+ (/ 1 x) (/ (pow (sin x) 2) (* x (pow (cos x) 2))))))
(* eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) x)))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))
(+ 1 (+ (* eps x) (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps x)
(* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps (+ x (+ (/ 1 eps) (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))) eps)))))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (pow (sin x) 2) (pow (cos x) 2))
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 1/3 eps)
(* 2/3 x)
(* x (+ 2/3 (* 17/45 (pow x 2))))
(* x (+ 2/3 (* 17/45 (pow x 2))))
(* x (+ 2/3 (* 17/45 (pow x 2))))
(* 17/45 (pow x 3))
(* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* 17/45 (pow x 3))
(* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 17/45 (pow x 2))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))
(* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))
(* 17/45 (pow x 4))
(* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* 17/45 (pow x 4))
(* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/45 (* 2/3 (/ 1 (pow x 2)))))
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* eps x)
(* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))
(* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))
(* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))
(* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))
(* -1 (* (pow x 2) (- (* -4/3 (pow eps 2)) 1)))
(* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))
(* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))
(* (pow x 2) (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ eps x)))
(pow x 2)
(+ (* eps x) (pow x 2))
(+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))
(+ (* eps (+ x (* 4/3 (* eps (pow x 2))))) (pow x 2))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ x eps)))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))
(* 4/3 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 4/3 (pow x 2)) (/ x eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 4/3 (* eps x))
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 17/315 x)
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 6))
(* (pow x 6) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
(* 17/315 (pow x 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
Outputs
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* eps (+ 1/3 (* 4/3 (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* -1 (* eps (- (* -4/3 (pow x 2)) 1/3)))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* 1/3 eps)
(*.f64 eps #s(literal 1/3 binary64))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(+ (* 1/3 eps) (* 4/3 (* eps (pow x 2))))
(*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x))))
(* 4/3 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* 4/3 (* eps (pow x 2)))
(*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* (pow x 2) (+ (* 1/3 (/ eps (pow x 2))) (* 4/3 eps)))
(+.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(* eps (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))) (*.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 x x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))))))
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(* 17/45 (pow x 6))
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(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
(* 17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/315 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -2/45 binary64)))))))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/45 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 x x) #s(literal -1/315 binary64)))))))))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))

eval250.0ms (1.5%)

Memory
39.5MiB live, 302.0MiB allocated
Compiler

Compiled 44 378 to 3 144 computations (92.9% saved)

prune120.0ms (0.7%)

Memory
-2.2MiB live, 274.2MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1 19761 203
Fresh448
Picked415
Done022
Total1 205131 218
Accuracy
100.0%
Counts
1 218 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.0%
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))) (*.f64 x (*.f64 x x))))
99.5%
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
✓99.4%
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
99.9%
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 eps x)))))
99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
99.9%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
100.0%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cos.f64 x))))))
99.5%
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
✓99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
99.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
99.8%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
✓98.4%
eps
Compiler

Compiled 1 273 to 416 computations (67.3% saved)

regimes59.0ms (0.4%)

Memory
-41.3MiB live, 55.9MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (tan.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))) (*.f64 x (*.f64 x x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 eps x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (sin.f64 (+.f64 (+.f64 x eps) x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 x (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 eps (+.f64 (*.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))))))
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cos.f64 x))))))
Calls

3 calls:

11.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms
eps
10.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory
32.6MiB live, 32.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (tan.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))) (*.f64 x (*.f64 x x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/3 binary64) eps) x)) (*.f64 (*.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x x))) (+.f64 eps x)))))
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
Calls

3 calls:

8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes50.0ms (0.3%)

Memory
-1.5MiB live, 37.6MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (tan.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))) (*.f64 x (*.f64 x x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
Calls

3 calls:

33.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory
2.1MiB live, 40.1MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (tan.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))) (*.f64 x (*.f64 x x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
(fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -5/24 binary64) (*.f64 (*.f64 x x) #s(literal -61/720 binary64)))))))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x eps)))
Outputs
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
Calls

3 calls:

8.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
-7.4MiB live, 31.0MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) x) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(-.f64 (tan.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64))))))))))
(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal 17/315 binary64)))))) (*.f64 x (*.f64 x x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
Calls

3 calls:

7.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
5.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal 4/3 binary64)))) eps)))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Memory
-32.5MiB live, 7.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) (*.f64 x (+.f64 eps x))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
Calls

2 calls:

5.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
Outputs
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
eps
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
Outputs
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
Calls

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
eps
Outputs
eps
Calls

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Rules
64×*-commutative_binary64
56×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079196
1143196
2150196
3154196
4156196
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cos.f64 x))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
eps
Outputs
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cos.f64 x))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))) (*.f64 eps (+.f64 (+.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 eps x)))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (cos.f64 x))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 x eps)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 4/3 binary64) (*.f64 eps (+.f64 eps x)))))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x eps)))))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 eps x)))))))
(*.f64 eps (+.f64 (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64))))))) (*.f64 x eps)))
(*.f64 eps (+.f64 (*.f64 eps x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 17/45 binary64)))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) x) x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 x eps))))
(+.f64 eps (*.f64 x (*.f64 eps (+.f64 eps x))))
(*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x x)))
eps

soundness1.3s (7.9%)

Memory
2.6MiB live, 1 113.4MiB allocated
Rules
14 592×accelerator-lowering-fma.f32
14 592×accelerator-lowering-fma.f64
12 372×accelerator-lowering-fma.f32
12 372×accelerator-lowering-fma.f64
12 272×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571351
14641285
215341274
359491242
085341195
064389
1457361
24600355
09044312
04336072
113525868
242145651
085685337
05686932
119096744
263056619
081586156
05118534
115728418
249798242
086547858
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 616 to 347 computations (43.7% saved)

preprocess83.0ms (0.5%)

Memory
-18.9MiB live, 213.2MiB allocated
Compiler

Compiled 496 to 214 computations (56.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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